Last Updated
：2025/12/04
zero divisor
Noun
Japanese Meaning
環論において、環 R の元aであって、非零元x（x ≠ 0）と掛け合わせた際に、ax = 0 または xa = 0となるもの。これを日本語では「零因子」と呼びます。
（ plural ）
Quizzes for review
(algebra, ring theory) An element a of a ring R for which there exists some nonzero element x ∈ R such that either ax = 0 or xa = 0.
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zero divisor
When working in commutative algebra, it's important to determine whether an element is a zero divisor before attempting to invert it.
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When working in commutative algebra, it's important to determine whether an element is a zero divisor before attempting to invert it.
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